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Finding the Third Proportional to 2,298,217 and 3,479,321

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Solution

The third proportional to 2,298,217 and 3,479,321 is: 5,267,420.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,298,217 : 3,479,321 = 3,479,321 : x
  2. Step 2: Convert to fraction form
    2,298,217/3,479,321 = 3,479,321/x
  3. Step 3: Cross multiply
    2,298,217x = 3,479,321 × 3,479,321
  4. Step 4: Simplify right side
    2,298,217x = 12,105,674,621,041
  5. Step 5: Solve for x
    x = 12,105,674,621,041/2,298,217
  6. Step 6: Final answer
    x = 5,267,420.19

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.